So far this looks parallel to the case of the usual Calogero–Moser system [1]}. Motivated by [2]}, [3]}, [4]}, one should think of the matrix-valued 1-form \(\Phi :=L(\alpha )d\alpha \)  as a Higgs field of some kind, so let us sketch such an interpretation. First, instead of considering \(\Phi \)  over the elliptic curve \(\Gamma \) , it is more natural to take into account the symmetry (REF ). It implies that
\(f(-k, -\alpha )=f(k,\alpha )\) 
